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On the invertibility of mappings arising in 2D grid generation problems
Clement, Ph. and Hagmeijer, R. and Sweers, G. (1996) On the invertibility of mappings arising in 2D grid generation problems. Numerische Mathematik, 73 (1). pp. 37-52. ISSN 0029-599X
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| Abstract: | In adapting a grid for a Computational Fluid Dynamics problem one uses a mapping from the unit square onto itself that is the solution of an elliptic partial differential equation with rapidly varying coefficients. For a regular discretization this mapping has to be invertible. We will show that such result holds for general elliptic operators (in two dimensions). The Carleman-Hartman-Wintner Theorem will be fundamental in our proof. We will also explain why such a general result cannot be expected to hold for the (three-dimensional) cube. |
| Item Type: | Article |
| Copyright: | © 1996 Springer |
| Faculty: | Engineering Technology (CTW) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/58056 |
| Official URL: | http://dx.doi.org/10.1007/s002110050182 |
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